Olivium and Victorium went shopping. After Olivium spent $86
z, Victorium had 3 times as much as Olivium. If Olivium had $22
z more than Victorium at first,
- Express the amount of money that Olivium had at first in terms of z.
- If z = 11, find the amount of money that the two lady had left after shopping.
|
Olivium |
Victorium |
Before |
1 u + $86z |
3 u |
Change |
- $86z |
|
After |
1 u |
3 u |
(a)
1 u + 86
z = 3 u + 22
z3 u - 1 u = 86
z - 22
z2 u = 86
z - 22
z = 64
z1 u = 64
z ÷ 2 = 32
z Olivium's amount at first
= 1 u + 86
z = 32
z + 86
z = $118
z (b)
1 u + 3 u = 4 u
4 u = 4 x 32
z = 128
z Amount the two lady had left
= 128 x 11
= $1408
Answer(s): (a) $118
z; (b) $1408